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Finding the Fourth Proportional to 208,365.96, 312,546.62 and 50,594.28

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Solution

The fourth proportional to 208,365.96, 312,546.62 and 50,594.28 is: 75,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,365.96 : 312,546.62 = 50,594.28 : x
  2. Step 2: Convert to fraction form
    208,365.96/312,546.62 = 50,594.28/x
  3. Step 3: Cross multiply
    208,365.96x = 312,546.62 × 50,594.28
  4. Step 4: Simplify right side
    208,365.96x = 15,813,071,205.33
  5. Step 5: Solve for x
    x = 15,813,071,205.33/208,365.96
  6. Step 6: Final answer
    x = 75,890.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.